Conformal anti-invariant $ξ^\perp-$submersions

Mehmet Akif Akyol; Yılmaz Gündüzalp

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arXiv · 1701.05117

Conformal anti-invariant $ξ^\perp-$submersions

Mehmet Akif Akyol·Yılmaz Gündüzalp

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Abstract

As a generalization of anti-invariant $ξ^\perp-$Riemannian submersions, we introduce conformal anti-invariant $ξ^\perp-$submersions from almost contact metric manifolds onto Riemannian manifolds. We investigate the geometry of foliations which are arisen from the definition of a conformal submersion and find necessary and sufficient conditions for a conformal anti-invariant $ξ^\perp-$submersion to be totally geodesic and harmonic, respectively. Moreover, we show that there are certain product structures on the total space of a conformal anti-invariant $ξ^\perp-$submersion.

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BibTeX RIS

Mehmet Akif Akyol, Yılmaz Gündüzalp. 2017-01-17. Conformal anti-invariant $ξ^\perp-$submersions. https://arxiv.org/abs/1701.05117

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